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Finding the Third Proportional to 119,430,126,406 and 256,584,272,996

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Solution

The third proportional to 119,430,126,406 and 256,584,272,996 is: 551,246,918,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,430,126,406 : 256,584,272,996 = 256,584,272,996 : x
  2. Step 2: Convert to fraction form
    119,430,126,406/256,584,272,996 = 256,584,272,996/x
  3. Step 3: Cross multiply
    119,430,126,406x = 256,584,272,996 × 256,584,272,996
  4. Step 4: Simplify right side
    119,430,126,406x = 65,835,489,148,885,855,633,408
  5. Step 5: Solve for x
    x = 65,835,489,148,885,855,633,408/119,430,126,406
  6. Step 6: Final answer
    x = 551,246,918,428.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.